Given ST with midpoint (5,-8) and endpoint T(4,-6), find endpoint S.

asked Mar 22, 2019 199k views

2 votes

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3 votes

The formula of a midpoint:

$M_(ST)\left((x_S+x_T)/(2),\ (y_S+y_T)/(2)\right)$

We have:

$M(5,\ -8)\to x_M=5,\ y_M=-8\\T(4,\ -6)\to x_T=4,\ y_T=-6$

Substitute:

$(x_S+4)/(2)=5\qquad|\cdot2\\\\x_S+4=10\qquad|-4\\\\x_S=6\\\\(y_S+(-6))/(2)=-8\qquad|\cdot2\\\\y_S-6=-16\qquad|+6\\\\y_S=-10$

Mr Jax answered Mar 29, 2019

5.8k points

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